Mathematics

Write down the gradient and the intercept on the y-axis of the line 3y + 2x = 12.

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Given, 3y + 2x = 12

⇒ 3y = -2x + 12

⇒ y = $-\dfrac{2}{3}x + 4$

Comparing the above equation with y = mx + c we get,

m = $-\dfrac{2}{3}$ and c = 4.

Hence, the gradient and intercept on the y-axis of the line 3y + 2x = 12 is $-\dfrac{2}{3}$ and 4 respectively.

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Assertion (A): The line 3x + 3y + 5 = 0 crosses the x-axis at the point $\Big(0, - \dfrac{5}{3}\Big)$ .
Reason (R): The ordinate of every point on x - axis is zero.
Assertion (A) is true, Reason (R) is false.
Assertion (A) is false, Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
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